Repeat Exercise 9 using x0 6 a Use P2 (0 5) to approximate f (0 5) Find an upper bound for error f (0 5) P2(0 5) using the error formula, and compare it to the actual error b Find a bound for the error f(x)P2(x) in using P2(x) to approximate f (x) on the interval 0, 1 c Approximate d Find an upper bound for the error in (c) using and compare the bound to the actual error f(x) dx usingP2(x) dx

Question: Repeat Exercise 9 using x0 = /6. a. Use P2 (0.5) to approximate f (0.5). Find an upper bound for error |f (0.5) P2(0.5)|

Repeat Exercise 9 using x0 = Ï€/6.
a. Use P2 (0.5) to approximate f (0.5). Find an upper bound for error |f (0.5) ˆ’ P2(0.5)| using the error formula, and compare it to the actual error.
b. Find a bound for the error |f(x)ˆ’P2(x)| in using P2(x) to approximate f (x) on the interval [0, 1].
c. Approximate

d. Find an upper bound for the error in (c) using

and compare the bound to the actual error.

f(x) dx usingP2(x) dx

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